A novel soft rough set: Soft rough hemirings and corresponding multicriteria group decision making

Zhan, J. and Liu, Q. and Herawan, T. (2017) A novel soft rough set: Soft rough hemirings and corresponding multicriteria group decision making. Applied Soft Computing, 54. pp. 393-402. ISSN 1568-4946

Full text not available from this repository.
Official URL: http://dx.doi.org/10.1016/j.asoc.2016.09.012

Abstract

In this paper, we investigate the relationships among rough sets, soft sets and hemirings. The concept of soft rough hemirings is introduced, which is an extended notion of a rough hemiring. It is pointed out that in this paper, we first apply soft rough sets to algebraic structure-hemirings. Further, we first put forward the concepts of C-soft sets and CC-soft sets, which provide a new research idea for soft rough algebraic research. Moreover, we study roughness in hemirings with respect to MSR-approximation spaces. Some new soft rough operations over hemirings are explored. In particular, lower and upper MSR-hemirings (k-ideal and h-ideal) are investigated. Finally, we put forth an approach for multicriteria group decision making problem based on modified soft rough sets and offer an actual example.

Item Type: Article
Uncontrolled Keywords: Rough set; Soft rough set; MSR-hemiring; Decision making
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Computer Science & Information Technology
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 07 Jun 2018 06:02
Last Modified: 07 Jun 2018 06:02
URI: http://eprints.um.edu.my/id/eprint/18825

Actions (login required)

View Item View Item